Define a relation T from R to R as follows: for all (x, y) ? R × R, x T y ? y > x + 1.

(a) Is (1, 0) ? T? Is (0, 1) ? T? Is (?2, 5) ? T? Is (?3,?4) ? T?
(b) Sketch the graph of T in the Cartesian plane.


a. (1, 0) /? T because 0 ? 1 + 1. (?2, 5) ? T because 5 > ?2 + 1. (?3,?4) /? T because ?4 ? ?3 + 1.

Mathematics

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